541407132 has 96 divisors (see below), whose sum is σ = 1643389440. Its totient is φ = 150906240.

The previous prime is 541407131. The next prime is 541407151. The reversal of 541407132 is 231704145.

541407132 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 541407096 and 541407105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541407131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22263 + ... + 39729.

It is an arithmetic number, because the mean of its divisors is an integer number (17118640).

Almost surely, 2^541407132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541407132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821694720).

541407132 is an abundant number, since it is smaller than the sum of its proper divisors (1101982308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

541407132 is a wasteful number, since it uses less digits than its factorization.

541407132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17528 (or 17520 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 541407132 is about 23268.1570391813. The cubic root of 541407132 is about 815.0319944282.

The spelling of 541407132 in words is "five hundred forty-one million, four hundred seven thousand, one hundred thirty-two".